Communications in Difference Equations

S. Elaydi, Trinity University, San Antonio, Texas, USA. G. Ladas, University of Rhode Island, Kingston, USA. J. Popendat and J. Rakowski, Poznan University of Technology, Poland.

• Preface UNIVERSAL FUNCTIONS ON COMPLEX SPECIAL LINEAR GROUPS; BRANCHING RANDOM WALK WITH A SINGLE SOURCE; DIFFERENCE EQUATIONS IN GROUPS; GEOMETRY OF FIRST INTEGRALS FOR 2ND ORDER DIFFERENCE EQUATIONS; BEHAVIOR OF SOLUTIONS OF PERTURBED QUASILINEAR DIFFERENCE EQUATIONS; IDENTITIES FOR ORTHOGONALITY AND APPLICATIONS; ON THE NONAUTONOMOUS DIFFERENCE EQUATION ; CENTRAL LIMIT THEOREMS FOR LINEAR, NONLINEAR AND MIXING PROCESSES; INVITATION TO PARTIAL DIFFERENCE EQUATIONS; RETRACT PRINCIPLE FOR DIFFERENCE EQUATIONS ON A PHASE PATTERN STRUCTURE OF UNIMODAL 2-ENDOMORPHISMS; TRIGONOMETRIC TRANSFORMATION AND OSCILLATORY PROPERTIES OF SECOND ORDER DIFFERENCE EQUATIONS; ON GLOBAL BIFURCATION THEORY OF POLYNOMIAL DYNAMICAL SYSTEMS AND ITS APPLICATIONS; GLOBAL STABILITY IN SOME POPULATION MODELS; RECURRENCE EQUATIONS IN SOLVING OPERATOR EQUATIONS OF THE SPECIAL TYPE; ON DISCONJUGACY FOR VECTOR LINEAR HAMILTONIAN SYSTEMS ON TIME SCALES; A NOTE ON THE ASYMPTOTIC PROPERTIES OF SOME NONAUTONOMOUS MATRIX DIFFERENCE EQUATIONS; A GENERALIZATION OF THE MILLOUX-HARTMAN THEOREM FOR NONLINEAR SYSTEMS; SPATIAL DISCRETIZATION OF PULLBACK ATTRACTORS OF NONAUTONOMOUS DIFFERENCE EQUATIONS; A DISCRETE NONLINEAR AND NON-AUTONOMOUS MODEL OF CONSENSUS FORMATION; TRAJECTORIES FOR THE CASE OF A RATIONAL SYSTEM OF DIFFERENCE EQUATIONS; APPLYING THE SYSTEM DERIVE TO INVESTIGATE THE TRUNCATION RELATED TO THE MONOMIALS DEFINED ON THE SET OF NATURAL NUMBERS; ANALYSIS OF INFLUENCE OF SELECTED PARAMETERS ON THE BEHAVIOUR OF THE DISCRETE LOGISTIC EQUATION; ASYMPTOTIC BEHAVIOUR OF OSCILLATORY SOLUTIONS OF A SECOND ORDER DIFFERENCE EQUATION; CHAOTIC BIFURCATIONS ALONG ALGEBRAIC CURVES; DISCRETE APPROXIMATIONS AND COMPUTER INVESTIGATIONS OF ISOLATED INVARIANT SETS; SEMI-HYPERBOLICITY AND INVERSE SHADOWING; FUNDAMENTAL SOLUTIONS FOR INFINITE DISCRETE BEAMS ON ELASTIC FOUNDATION; DISCRETE CLASSICAL ORTHOGONAL POLYNOMIALS AND INTERFEROMETRY; A REID TYPE ROUNDABOUT THEOREM FOR SECOND ORDER HALF-LINEAR DIFFERENCE EQUATIONS AND SOME OF ITS APPLICATIONS; SOME APPLICATIONS OF STOCHASTIC EQUATIONS TO INDUSTRIAL PROBLEMS; ON THE BEHAVIOR OF SOLUTIONS OF HIGHER ORDER DIFFERENCE EQUATION; ON EXPONENTIAL DICHOTOMY AND INVARIANT SETS OF IMPULSIVE SYSTEMS; OPTIMAL SEQUENTIAL SEARCH OF ORDER 2(2m- 1); ALGORITHMS FOR COMPUTING THE DISTANCE TO INSTABILITY; STABILITY AND BOUNDEDNESS OF DELAY DIFFERENCE SYSTEMS IN TERMS OF TWO MEASURES